Home / 2,109.40-3,165.24-877.66

Finding the Fourth Proportional to 2,109.40, 3,165.24 and 877.66

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Solution

The fourth proportional to 2,109.40, 3,165.24 and 877.66 is: 1,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.40 : 3,165.24 = 877.66 : x
  2. Step 2: Convert to fraction form
    2,109.40/3,165.24 = 877.66/x
  3. Step 3: Cross multiply
    2,109.40x = 3,165.24 × 877.66
  4. Step 4: Simplify right side
    2,109.40x = 2,777,984.32
  5. Step 5: Solve for x
    x = 2,777,984.32/2,109.40
  6. Step 6: Final answer
    x = 1,316.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.